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Finding the Fourth Proportional to 53,397, 73,687.86 and 33,525

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Solution

The fourth proportional to 53,397, 73,687.86 and 33,525 is: 46,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397 : 73,687.86 = 33,525 : x
  2. Step 2: Convert to fraction form
    53,397/73,687.86 = 33,525/x
  3. Step 3: Cross multiply
    53,397x = 73,687.86 × 33,525
  4. Step 4: Simplify right side
    53,397x = 2,470,385,506.50
  5. Step 5: Solve for x
    x = 2,470,385,506.50/53,397
  6. Step 6: Final answer
    x = 46,264.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.